Preparation
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library(tidyverse)
library(here)
library(ggtext)
library(spatstat.core)
library(colorspace)
library(here)
library(patchwork)
theme_set(theme_void(base_size = 18, base_family = "Open Sans"))
theme_update(
plot.title = element_markdown(hjust = .5, face = "bold"),
plot.title.position = "plot",
plot.margin = margin(rep(10, 4))
)
## source funcrions to generate distributions of bat passes
source(here("R", "src", "generate-distributions.R"))
Research Question
- Predictive power of the acoustic monitoring
Is the predictive power of the current acoustic monitoring sufficient enough to estimate the true number of killed bats?
Predictions
The predictive power of the acoustic monitoring for the extrapolation of the expected number of stroke victims is decreasing
in case the crossing bats are not distributed uniformly or randomly.
with increasing length of the rotor blades.
for species with high-frequency echo calls.
Open Questions
- wie die Dichte skalieren zwischen großen und kleinen Windrädern?
- z.B. von innen nach außen abhängig von relativer oder absoluter Distanz zum Mittelpunkt?
- globale oder lokale Anzahl an Fledermäusen konstant halten?
Inputs
We have the following parameters we can vary:
- length of rotor blades (
radius_rotor) - 60 m versus 33 m - determines area of wind turbine (
area_rotoraspi * radius_rotor^2) - proportion of area covered by acoustic monitoring (
proportion_covered) - determines area of acoustic monitoring (
area_monitoredasarea_rotor * proportion_covered) - determines radius to detect bars (
radius_monitoredassqrt(area_monitored / pi)) - number of bats simulated (
n) - could be either total (for now) or number monitored (maybe later)
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plot_dist <- function(data, title = NULL, color = NULL, shape = NULL, size = 1) {
df_rotor <- as.data.frame(
disc(radius = 1, centre = c(0, 0), mask = FALSE, npoly = 5000)
)
area_monitored <- pi * unique(data$prop_monitored) * 2 ## pi *1^2 -> area
## times 2 because we only use the lower half of the circle = half of the area later
radius_monitored <- sqrt(area_monitored / pi)
df_monitored <-
as.data.frame(
disc(radius = radius_monitored, centre = c(0, 0), mask = FALSE, npoly = 5000)
) %>%
filter(y <= 0)
base <-
ggplot(df_rotor, aes(x, y)) +
geom_path(color = "black", alpha = .33, size = 2.5) +
coord_fixed() +
scale_x_continuous(limits = c(-1, 1)) +
scale_y_continuous(limits = c(-1, 1))
if (!is.null(color) & !is.null(shape)) {
base +
geom_path(data = df_monitored, color = desaturate(lighten(color, .25), .25), size = 1.5) +
geom_point(data = data, aes(color = monitored, shape = fatality, size = fatality, alpha = fatality, stroke = 1.2)) +
scale_color_manual(values = c("grey20", color), guide = "none") +
scale_shape_manual(values = c(1, shape), guide = "none") +
scale_size_manual(values = c(2, 10), guide = "none") +
scale_alpha_manual(values = c(.3, 1), guide = "none") +
ggtitle(title)
} else if (!is.null(color) & is.null(shape)){
base +
geom_path(data = df_monitored, color = desaturate(lighten(color, .25), .25), size = 1.5) +
geom_point(data = data, aes(color = monitored), alpha = .7, size = size) +
scale_color_manual(values = c("grey20", color), guide = "none") +
ggtitle(title)
} else {
base +
geom_point(data = data, alpha = .7, size = size) +
ggtitle(title)
}
}
Comparison Distribution Scenarios
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m <- .2 ## proportion monitored
n <- 500L ## number of basses
s <- 1L ## seed
## uniform
df_uni <- generate_distribution(distribution = "uniform", prop_monitored = m, n = n, seed = s, var = FALSE)
## random
df_ran <- generate_distribution(distribution = "random", prop_monitored = m, n = n, seed = s, var = FALSE)
## inner > outer (basic)
df_inn1 <- generate_distribution(distribution = "inner", prop_monitored = m, n = n, seed = s, var = FALSE, skewness = 1)
## inner > outer (basic)
df_inn3 <- generate_distribution(distribution = "inner", prop_monitored = m, n = n, seed = s, var = FALSE, skewness = 3)
## outer > inner (basic)
df_out1 <- generate_distribution(distribution = "outer", prop_monitored = m, n = n, seed = s, var = FALSE, skewness = 1)
## outer > inner (basic)
df_out3 <- generate_distribution(distribution = "outer", prop_monitored = m, n = n, seed = s, var = FALSE, skewness = 3)
## bottom > top (basic)
df_bot1 <- generate_distribution(distribution = "bottom", prop_monitored = m, n = n, seed = s, var = FALSE, skewness = 1)
## bottom > top (extreme)
df_bot3 <- generate_distribution(distribution = "bottom", prop_monitored = m, n = n, seed = s, var = FALSE, skewness = 3)
## top > bottom (basic)
df_top1 <- generate_distribution(distribution = "top", prop_monitored = m, n = n, seed = s, var = FALSE, skewness = 1)
## top > bottom (extreme)
df_top3 <- generate_distribution(distribution = "top", prop_monitored = m, n = n, seed = s, var = FALSE, skewness = 3)
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gg_uni_r <- plot_dist(df_uni, title = "Uniform")
gg_ran_r <- plot_dist(df_ran, title = "Random")
gg_inn1_r <- plot_dist(df_inn1, title = "Inner > Outer")
gg_inn3_r <- plot_dist(df_inn3, title = "Inner > Outer (skewed)")
gg_out1_r <- plot_dist(df_out1, title = "Outer > Inner")
gg_out3_r <- plot_dist(df_out3, title = "Outer > Inner (skewed)")
gg_bot1_r <- plot_dist(df_bot1, title = "Bottom > Top")
gg_bot3_r <- plot_dist(df_bot3, title = "Bottom > Top (skewed)")
gg_top1_r <- plot_dist(df_top1, title = "Top > Bottom")
gg_top3_r <- plot_dist(df_top3, title = "Top > Bottom (skewed)")
## panel
p_r <- (gg_uni_r | gg_inn1_r | gg_out1_r | gg_bot1_r | gg_top1_r) / (gg_ran_r | gg_inn3_r | gg_out3_r | gg_bot3_r | gg_top3_r) +
plot_annotation(tag_levels = "a", tag_suffix = ")")
p_r
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ggsave(here("plots", "distributions", "distributions_all_rotor.pdf"), width = 24, height = 11, device = cairo_pdf)
## panel
p_r_l <-
wrap_plots(gg_uni_r, gg_ran_r, gg_inn1_r, gg_inn3_r, gg_out1_r,
gg_out3_r, gg_bot1_r, gg_bot3_r, gg_top1_r, gg_top3_r, ncol = 2) *
theme(plot.margin = margin(5, 40, 5, 40)) +
plot_annotation(tag_levels = "a", tag_suffix = ")")
ggsave(here("plots", "distributions", "distributions_all_rotor_long.pdf"), width = 12, height = 24, device = cairo_pdf)
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gg_uni_m <- plot_dist(df_uni, color = "orange2", title = "Uniform")
gg_ran_m <- plot_dist(df_ran, color = "orange2", title = "Random")
gg_inn1_m <- plot_dist(df_inn1, color = "orange2", title = "Inner > Outer")
gg_inn3_m <- plot_dist(df_inn3, color = "orange2", title = "Inner > Outer (skewed)")
gg_out1_m <- plot_dist(df_out1, color = "orange2", title = "Outer > Inner")
gg_out3_m <- plot_dist(df_out3, color = "orange2", title = "Outer > Inne (skewed)r")
gg_bot1_m <- plot_dist(df_bot1, color = "orange2", title = "Bottom > Top")
gg_bot3_m <- plot_dist(df_bot3, color = "orange2", title = "Bottom > Top (skewed)")
gg_top1_m <- plot_dist(df_top1, color = "orange2", title = "Top > Bottom")
gg_top3_m <- plot_dist(df_top3, color = "orange2", title = "Top > Bottom (skewed)")
## panel
p_m <- (gg_uni_m | gg_inn1_m | gg_out1_m | gg_bot1_m | gg_top1_m) / (gg_ran_m | gg_inn3_m | gg_out3_m | gg_bot3_m | gg_top3_m) +
plot_annotation(tag_levels = "a", tag_suffix = ")")
p_m
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gg_uni_f <- plot_dist(df_uni, color = "orange2", shape = 4, title = "Uniform")
gg_ran_f <- plot_dist(df_ran, color = "orange2", shape = 4, title = "Random")
gg_inn1_f <- plot_dist(df_inn1, color = "orange2", shape = 4, title = "Inner > Outer")
gg_inn3_f <- plot_dist(df_inn3, color = "orange2", shape = 4, title = "Inner > Outer (skewed)")
gg_out1_f <- plot_dist(df_out1, color = "orange2", shape = 4, title = "Outer > Inner")
gg_out3_f <- plot_dist(df_out3, color = "orange2", shape = 4, title = "Outer > Inner (skewed)")
gg_bot1_f <- plot_dist(df_bot1, color = "orange2", shape = 4, title = "Bottom > Top")
gg_bot3_f <- plot_dist(df_bot3, color = "orange2", shape = 4, title = "Bottom > Top (skewed)")
gg_top1_f <- plot_dist(df_top1, color = "orange2", shape = 4, title = "Top > Bottom")
gg_top3_f <- plot_dist(df_top3, color = "orange2", shape = 4, title = "Top > Bottom (skewed)")
## panel
p_f <- (gg_uni_f | gg_inn1_f | gg_bot1_f | gg_top1_f) / (gg_ran_f | gg_inn3_f | gg_out3_f | gg_bot3_f | gg_top3_f) +
plot_annotation(tag_levels = "a", tag_suffix = ")")
p_f
Plots Example Distributions
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seed <- 123L
distribution <- "inner"
color <- "orange2"
Small radius (30m) and low-frequency bats (20 kHz)
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## small radius (30m) and low-frequency bats (20 kHz)
## -> small n -> larger prop_monitored
small <- 100L
low_30 <- .5
df_30_low <- generate_distribution(n = small, prop_monitored = low_30, distribution = distribution, seed = seed, var = FALSE, skewness = 2)
(gg_d_30_low <- plot_dist(df_30_low, size = 2, title = "30m radius + low-frequency"))
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Small radius (30m) and high-frequency bats (40 kHz)
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## small radius (30m) and high-frequency bats (40 kHz)
## -> small n -> smaller prop_monitored
high_30 <- .17
df_30_high <- generate_distribution(n = small, prop_monitored = high_30, distribution = distribution, seed = seed, var = FALSE, skewness = 2)
(gg_d_30_high <- plot_dist(df_30_high, size = 2, title = "30m radius + high-frequency"))
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Large radius (60m) and low-frequency bats (20 kHz)
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## large radius (60m) and low-frequency bats (20 kHz)
## -> large n -> larger prop_monitored
large <- 400L
low_60 <- .23
df_60_low <- generate_distribution(n = large, prop_monitored = low_60, distribution = distribution, seed = seed, var = FALSE, skewness = 2)
(gg_d_60_low <- plot_dist(df_60_low, size = 2, title = "60m radius + low-frequency"))
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Large radius (60m) and high-frequency bats (40 kHz)
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## large radius (60m) and high-frequency bats (40 kHz)
## -> large n -> smaller prop_monitored
high_60 <- .04
df_60_high <- generate_distribution(n = large, prop_monitored = high_60, distribution = distribution, seed = seed, var = FALSE, skewness = 2)
(gg_d_60_high <- plot_dist(df_60_high, size = 2, title = "60m radius + high-frequency"))
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Comparison Skewness
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plot_skewed <- function(dist, skewness) {
g <- plot_distribution(
generate_distribution(distribution = dist, skewness = skewness,
n = 300L, prop_monitored = .01, seed = 123L),
title = paste0("Skewness = ", skewness), color = "black", print = FALSE
)
g <- g + theme(plot.title = element_markdown(size = 15, face = "plain"))
return(g)
}
skewness_levels <- c(1:5, 10, 15, 20)
n <- length(skewness_levels)
## inner > outer
plots_inner <- purrr::map2(rep("inner", n), skewness_levels, ~plot_skewed(dist = .x, skewness = .y)) ## c(1, 3, 5, 7, 9, 15, 30, 60)
wrap_plots(plots_inner, ncol = 4) + plot_annotation(title = "Inner > Outer")
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ggsave(here::here("plots", "distributions", "distributions_gradient_inner.pdf"), width = 12, height = 7, device = cairo_pdf)
## outer > inner
plots_outer <- purrr::map2(rep("outer", n), skewness_levels, ~plot_skewed(dist = .x, skewness = .y))
wrap_plots(plots_outer, ncol = 4) + plot_annotation(title = "Outer > Inner")
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ggsave(here::here("plots", "distributions", "distributions_gradient_outer.pdf"), width = 12, height = 7, device = cairo_pdf)
## top > bottom
plots_top <- purrr::map2(rep("top", n), skewness_levels, ~plot_skewed(dist = .x, skewness = .y))
wrap_plots(plots_top, ncol = 4) + plot_annotation(title = "Top > Bottom")
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ggsave(here::here("plots", "distributions", "distributions_gradient_top.pdf"), width = 12, height = 7, device = cairo_pdf)
## bottom > top
plots_bottom <- purrr::map2(rep("bottom", n), skewness_levels, ~plot_skewed(dist = .x, skewness = .y))
wrap_plots(plots_bottom, ncol = 4) + plot_annotation(title = "Bottom > Top")
Session Info
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Sys.time()
[1] "2022-02-03 11:53:59 CET"Show code
R version 4.1.2 (2021-11-01)
Platform: x86_64-w64-mingw32/x64 (64-bit)
Running under: Windows 10 x64 (build 19043)
Matrix products: default
locale:
[1] LC_COLLATE=German_Germany.1252 LC_CTYPE=German_Germany.1252
[3] LC_MONETARY=German_Germany.1252 LC_NUMERIC=C
[5] LC_TIME=German_Germany.1252
system code page: 65001
attached base packages:
[1] stats graphics grDevices utils datasets methods
[7] base
other attached packages:
[1] patchwork_1.1.1 colorspace_2.0-2 spatstat.core_2.3-2
[4] rpart_4.1-15 nlme_3.1-153 spatstat.geom_2.3-1
[7] spatstat.data_2.1-2 ggtext_0.1.1 here_1.0.1
[10] forcats_0.5.1 stringr_1.4.0 dplyr_1.0.7
[13] purrr_0.3.4 readr_2.0.2 tidyr_1.1.4
[16] tibble_3.1.6 ggplot2_3.3.5 tidyverse_1.3.1
loaded via a namespace (and not attached):
[1] fs_1.5.0 spatstat.sparse_2.1-0 lubridate_1.8.0
[4] httr_1.4.2 rprojroot_2.0.2 tools_4.1.2
[7] backports_1.2.1 bslib_0.3.1 utf8_1.2.2
[10] R6_2.5.1 mgcv_1.8-38 DBI_1.1.2
[13] withr_2.4.3 tidyselect_1.1.1 downlit_0.4.0
[16] compiler_4.1.2 textshaping_0.3.6 cli_3.1.0
[19] rvest_1.0.2 xml2_1.3.2 labeling_0.4.2
[22] sass_0.4.0 scales_1.1.1 askpass_1.1
[25] goftest_1.2-3 systemfonts_1.0.3 digest_0.6.29
[28] spatstat.utils_2.3-0 rmarkdown_2.11 pkgconfig_2.0.3
[31] htmltools_0.5.2 highr_0.9 dbplyr_2.1.1
[34] fastmap_1.1.0 rlang_0.4.12 readxl_1.3.1
[37] rstudioapi_0.13 farver_2.1.0 jquerylib_0.1.4
[40] generics_0.1.1 jsonlite_1.7.2 distill_1.3
[43] magrittr_2.0.1 Matrix_1.3-4 Rcpp_1.0.7
[46] munsell_0.5.0 fansi_0.5.0 abind_1.4-5
[49] lifecycle_1.0.1 stringi_1.7.5 yaml_2.2.1
[52] grid_4.1.2 crayon_1.4.2 deldir_1.0-6
[55] lattice_0.20-45 splines_4.1.2 haven_2.4.3
[58] tensor_1.5 gridtext_0.1.4 hms_1.1.1
[61] knitr_1.36 pillar_1.6.4 markdown_1.1
[64] reprex_2.0.1 glue_1.4.2 evaluate_0.14
[67] pdftools_3.0.1 qpdf_1.1 modelr_0.1.8
[70] vctrs_0.3.8 tzdb_0.1.2 cellranger_1.1.0
[73] gtable_0.3.0 polyclip_1.10-0 assertthat_0.2.1
[76] cachem_1.0.6 xfun_0.27 broom_0.7.11
[79] ragg_1.1.3 memoise_2.0.1 ellipsis_0.3.2